DGNorm2d Class Reference

Provides methods to calculate norms. More...

#include <dgNorm2d.hh>

List of all members.

Static Public Member Functions
static concepts::Mapping< Real, 2 >	elmSymmGrad (vectorial::Element< Real > &vElm, const concepts::Vector< Real > &coeffs)
static Real	energyTW (vectorial::Space< Real > &spc, const concepts::Vector< Real > &coeffs, concepts::Formula< Real > &exactFrmX, concepts::Formula< Real > &exactFrmY, concepts::Formula< Real > &exactFrmXderX, concepts::Formula< Real > &exactFrmXderY, concepts::Formula< Real > &exactFrmYderX, concepts::Formula< Real > &exactFrmYderY, uint nQuadPts, Real time=0)
	Calculates the energy norm of a vectorial mesh function defined by coeffs minus a general function given by exact formulae for x (exactFrmX) and y (exactFrmY) component, both evaluated at time time.
static Real	l2 (vectorial::Space< Real > &spc, const concepts::Vector< Real > &coeffs, concepts::Formula< Real > &exactFrmX, concepts::Formula< Real > &exactFrmY, uint nQuadPts, Real time=0)
	Calculates the L2 norm of a vectorial mesh function defined by coeffs minus a general function given by exact formulae for x (exactFrmX) and y (exactFrmY) component, both evaluated at time time.
static Real	l2 (const linDG2D::SpaceP1 &spc, const concepts::Vector< Real > &coeffs, concepts::Formula< Real > &exactFrm, uint nQuadPts, Real time=0)
	Calculates the L2 norm of a mesh function defined by coeffs minus a general function given by an exact formula exactFrm evaluated at time time.
static Real	matrix (const concepts::Vector< Real > &coeffs, concepts::Operator< Real > &matrix)
	Calculates the norm defined by matrix of coeffs.
Private Member Functions
	DGNorm2d ()
	Constructor. Is private in order to prevent creating an instance.
Static Private Member Functions
static concepts::Real2d	elmSol (vectorial::Element< Real > &vElm, const concepts::Vector< Real > &coeffs, Real xi1, Real xi2)
	Calculate solution on vectorial element.
template<uint dim>
static Real	mappingNorm (concepts::Mapping< Real, dim > &map)
	Calculate norm of a mapping.

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Detailed Description

Provides methods to calculate norms.

Author:

Christoph Winkelmann, 2003

Definition at line 28 of file dgNorm2d.hh.

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Constructor & Destructor Documentation

DGNorm2d::DGNorm2d

(

)

[inline, private]

Constructor. Is private in order to prevent creating an instance.

Definition at line 95 of file dgNorm2d.hh.

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Member Function Documentation

static concepts::Real2d DGNorm2d::elmSol	(	vectorial::Element< Real > &	vElm,
		const concepts::Vector< Real > &	coeffs,
		Real	xi1,
		Real	xi2
	)		[static, private]

Calculate solution on vectorial element.

static concepts::Mapping<Real, 2> DGNorm2d::elmSymmGrad	(	vectorial::Element< Real > &	vElm,
		const concepts::Vector< Real > &	coeffs
	)		[static]

static Real DGNorm2d::energyTW	(	vectorial::Space< Real > &	spc,
		const concepts::Vector< Real > &	coeffs,
		concepts::Formula< Real > &	exactFrmX,
		concepts::Formula< Real > &	exactFrmY,
		concepts::Formula< Real > &	exactFrmXderX,
		concepts::Formula< Real > &	exactFrmXderY,
		concepts::Formula< Real > &	exactFrmYderX,
		concepts::Formula< Real > &	exactFrmYderY,
		uint	nQuadPts,
		Real	time = 0
	)		[static]

Calculates the energy norm of a vectorial mesh function defined by coeffs minus a general function given by exact formulae for x (exactFrmX) and y (exactFrmY) component, both evaluated at time time.

The definition of the energy norm is according to T. Wihler.

Parameters:

coeffs	The coefficent vector
exactFrmX	The formula for the x component of the exact solution
exactFrmY	The formula for the y component of the exact solution
exactFrmXderX	d/dx of exactFrmX
exactFrmXderY	d/dy of exactFrmX
exactFrmYderX	d/dx of exactFrmY
exactFrmYderY	d/dy of exactFrmY
nQuadPts	Number of Gauss quadrature points per dimension
time	Time to evaluate exactFrm at

static Real DGNorm2d::l2	(	vectorial::Space< Real > &	spc,
		const concepts::Vector< Real > &	coeffs,
		concepts::Formula< Real > &	exactFrmX,
		concepts::Formula< Real > &	exactFrmY,
		uint	nQuadPts,
		Real	time = 0
	)		[static]

Calculates the L2 norm of a vectorial mesh function defined by coeffs minus a general function given by exact formulae for x (exactFrmX) and y (exactFrmY) component, both evaluated at time time.

Parameters:

coeffs	The coefficent vector
exactFrmX	The formula for the x component of the exact solution
exactFrmY	The formula for the y component of the exact solution
nQuadPts	Number of Gauss quadrature points per dimension
time	Time to evaluate exactFrm at

static Real DGNorm2d::l2	(	const linDG2D::SpaceP1 &	spc,
		const concepts::Vector< Real > &	coeffs,
		concepts::Formula< Real > &	exactFrm,
		uint	nQuadPts,
		Real	time = 0
	)		[static]

Calculates the L2 norm of a mesh function defined by coeffs minus a general function given by an exact formula exactFrm evaluated at time time.

Parameters:

coeffs	The coefficent vector
exactFrm	The formula for the exact solution
nQuadPts	Number of Gauss quadrature points per dimension
time	Time to evaluate exactFrmX and exactFrmY at

template<uint dim>

static Real DGNorm2d::mappingNorm

(

concepts::Mapping< Real, dim > &

map

)

[static, private]

Calculate norm of a mapping.

static Real DGNorm2d::matrix	(	const concepts::Vector< Real > &	coeffs,
		concepts::Operator< Real > &	matrix
	)		[inline, static]

Calculates the norm defined by matrix of coeffs.

Parameters:

coeffs	The coefficent vector
matrix	The matrix which defines the norm

Definition at line 35 of file dgNorm2d.hh.

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The documentation for this class was generated from the following file:

• app-cwinkelm/dgNorm2d.hh